The generator matrix

 1  0  1  1  1  1  1 X+3  1  1 2X  1  1  1  0  1  1  1 X+3  1 2X  1  1  1  1  1  1 X+3  1  1  1  1  0  1 2X  1 2X  1  1  1  0  1  1  1 2X+6  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1 2X+4  8 X+3 X+1 X+2  1 2X+8 2X  1  4 2X+4 X+3  1  8  0 X+2  1 X+1  1  4 2X+8 2X X+1 2X  0  1  4 X+3 2X+8 2X+6  1  8  1 X+2  1 2X 2X+4  5  1 2X+4 2X+8 X+1  1 X+6  4  0 2X+5 2X+6  8 X+2 X+3  7  5  7  1 2X+7 X+6  8  6  8  5 2X+3 2X+8
 0  0  3  0  0  0  3  3  6  6  3  3  6  6  0  0  3  0  3  0  0  6  3  6  6  0  6  6  6  0  0  0  3  0  6  3  3  6  6  0  0  3  3  6  0  6  3  3  3  0  6  3  3  3  6  0  3  3  3  6  6  6  3  0  3
 0  0  0  6  0  6  3  6  6  3  0  6  0  3  0  3  0  3  3  0  3  3  6  6  6  6  0  3  0  3  0  3  0  6  0  3  3  0  6  0  3  3  0  6  6  6  6  3  6  3  3  6  0  0  3  3  0  3  6  6  3  3  3  6  0
 0  0  0  0  3  3  6  0  6  3  3  6  3  6  3  0  3  6  0  0  3  0  3  6  3  6  0  3  6  6  6  3  6  3  0  3  6  6  6  3  6  3  6  0  6  0  3  6  0  0  0  6  6  3  6  3  6  6  3  0  0  3  3  0  3

generates a code of length 65 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+150x^121+288x^122+266x^123+726x^124+1188x^125+812x^126+1374x^127+1992x^128+1344x^129+2100x^130+2748x^131+1594x^132+1818x^133+1758x^134+560x^135+492x^136+168x^137+18x^138+108x^139+96x^140+4x^141+30x^142+24x^143+2x^144+6x^145+4x^147+4x^150+2x^153+4x^159+2x^165

The gray image is a code over GF(3) with n=585, k=9 and d=363.
This code was found by Heurico 1.16 in 3.52 seconds.